Abstract
We propose a Poisson-compound gamma approach for species richness estimation. Based on the denseness and nesting properties of the gamma mixture, we fix the shape parameter of each gamma component at a unified value, and estimate the mixture using nonparametric maximum likelihood. A least-squares crossvalidation procedure is proposed for the choice of the common shape parameter. The performance of the resulting estimator of N is assessed using numerical studies and genomic data.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 727-740 |
| Number of pages | 14 |
| Journal | Biometrika |
| Volume | 97 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2010 |
Keywords
- Crossvalidation
- Nesting property of gamma mixtures
- Nonparametric maximum likelihood estimation
- Poisson-compound gamma model
- Species richness estimation
ASJC Scopus subject areas
- Agricultural and Biological Sciences(all)
- Applied Mathematics
- Mathematics(all)
- Agricultural and Biological Sciences (miscellaneous)
- Statistics and Probability
- Statistics, Probability and Uncertainty